Answer:
a) p + m = 10 and 
b) The mixing amount is 5 lb peanut and 5 lb mixture.
Step-by-step explanation:
Given that p pounds of peanuts and m pounds of the 80% almond and 20% peanut mixture are used to make 10 pounds of 60% peanuts and 40% of almonds mixture.
Now, we can write that p + m = 10 ........ (1)
Now, m pounds of 80% almond and 20% peanut mixture contain 0.2m pounds of peanuts and 0.8m pounds of almonds.
Now, from the condition given it can be written that
.......... (2)
⇒ 
⇒ 2p + 0.4m = 2.4m
⇒ 2p = 2m
⇒ p = m
Now from equation (1) we get p = m = 5 pounds.
a) Therefore, equations (1) and (2) are the system of equations that models the situation.
b) The mixing amount is 5 lb peanut and 5 lb mixture. (Answer)
Answer:
The arc length is 87.5 inches.
Step-by-step explanation:
Given that,
Arc length = S = ?
Angle = theta = 100°
Radius = r = 50 inches
The relation between the arc length (S), angle (theta) and radius (r) is calculated using 
However, the angle should be in radian.
To convert degrees into radian, we use: 
=> 
=> 1.75 radian
By putting values in the above relation, we get
Therefore, the arc length is 87.5 inches.
We know the combined area is 100π, and the combined area includes the white section as well as the orange section.
now, if we take the area of the white circle, and "subtract" it from the combined area, we're in effect, making a whole in the larger circle, and what's leftover is just the orange part, because the white would have been subtracted out,
first 15- 4= 11
in question they gave 4-15 so
-11
Answer:
q= 158
Step-by-step explanation:
